Impact of indexing errors on spur gear dynamics

A Computational Model to Investigate the Influence of Spacing Errors on Spur Gear Pair Dynamics

“…once in every 50 mesh cycles. The same trend was observed when using the analytical model in a previous study [15].…”

“…1.8d-f as the carrier frequency (modulation process requires a carrier and a modulator signal) due to the tool wear (essentially a sine wave) has a frequency equal to rotational frequency of the gear and thus coincides with the preexisting gear mesh frequency and its harmonics, not adding additional frequency content. In Case 9, both the pinion and the gear was generated to have random spacing errors within the range of [ 15,15] m. The random error pattern is definitely more representative of the real spacing error patterns observed on the gears manufactured using regular gear cutting operations such as hobbing, shaping etc. Although randomly distributed, spacing errors were kept between the range [ 15,15] m. As seen both from the time traces and the corresponding spectra in Fig.…”

“…The relatively narrow mesh cycle range (corresponds to one full rotation of both gears) was intentionally chosen in Fig. 1.4a such that the presentation is clear as only this plot includes a comparison between previously measured STE [15] and the computationally predicted STE for the same gear pair. Figure 1.4a indicates that there is up to 2 m difference between the peak to peak values of both traces (excluding the very first peak which includes a slight amplification only in the beginning of the measurements and does never repeats itself in terms of its amplitude).…”

“…1.2. This gear pair is intentionally utilized as the same gear pair was recently used in a subsequent study that constitutes a comparative baseline for the current investigation and serves as the baseline gear geometry with "no spacing error" [15]. This unity-ratio spur gear pair has an operating center distance of 150 mm and a theoretical contact ratio of 1.8.…”

“…This is mostly caused by imperfections of the gear cutting tool and the manufacturing process. In Case 9, both the pinion and the gear were created to have random spacing errors within the range of [ 15,15] m.…”